What is the Greatest Common Factor of 66976 and 66989?

Greatest common factor (GCF) of 66976 and 66989 is 13.

GCF(66976,66989) = 13

We will now calculate the prime factors of 66976 and 66989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66976 and 66989.

How to find the GCF of 66976 and 66989?

We will first find the prime factorization of 66976 and 66989. After we will calculate the factors of 66976 and 66989 and find the biggest common factor number .

Step-1: Prime Factorization of 66976

Prime factors of 66976 are 2, 7, 13, 23. Prime factorization of 66976 in exponential form is:

66976 = 2⁵ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 66989

Prime factors of 66989 are 13, 5153. Prime factorization of 66989 in exponential form is:

66989 = 13¹ × 5153¹

Step-3: Factors of 66976

List of positive integer factors of 66976 that divides 66976 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 23, 26, 28, 32, 46, 52, 56, 91, 92, 104, 112, 161, 182, 184, 208, 224, 299, 322, 364, 368, 416, 598, 644, 728, 736, 1196, 1288, 1456, 2093, 2392, 2576, 2912, 4186, 4784, 5152, 8372, 9568, 16744, 33488

Step-4: Factors of 66989

List of positive integer factors of 66989 that divides 66976 without a remainder.

1, 13, 5153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66976 and 66989. The biggest common factor number is the GCF number.
So the greatest common factor 66976 and 66989 is 13.

Also check out the Least Common Multiple of 66976 and 66989